DocumentCode
1219782
Title
An example of a GAS system which can be destabilized by an integrable perturbation
Author
Sontag, Eduardo D. ; Krichman, Mikhail
Author_Institution
Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
Volume
48
Issue
6
fYear
2003
fDate
6/1/2003 12:00:00 AM
Firstpage
1046
Lastpage
1049
Abstract
A construction of a globally asymptotically stable time-invariant system which can be destabilized by some integrable perturbation is given. Besides its intrinsic interest, this serves to provide counterexamples to an open question regarding Lyapunov functions.
Keywords
Lyapunov methods; asymptotic stability; observers; GAS System; Lyapunov functions; asymptotic stability; globally asymptotically stable; integrable perturbation; time-invariant system; Asymptotic stability; Control systems; Lyapunov method; Mathematics; Output feedback; State feedback; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2003.812801
Filename
1205202
Link To Document